COMPARISON OF POWER OPERATIONS IN MORAVA E-THEORIES

被引：0

作者：

Torii, Takeshi ^{[1
]}

机构：

[1] Okayama Univ, Dept Math, Okayama 7008530, Japan

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2017年 / 19卷 / 01期

关键词：

Morava E-theory; power operation; p-divisible group; Hopf algebroid; GENERALIZED CHERN CHARACTER; FORMAL GROUP LAWS; COHOMOLOGY;

D O I：

10.4310/HHA.2017.v19.n1.a4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There is a Hopf algebroid without antipode which is the dual of the algebra of power operations in Morava E-theory. In this paper we compare the category of comodules over the Hopf algebroid in the nth Morava E-theory with that in the (n + 1 )st Morava E-theory. We show that the nth Morava E-theory of a finite complex with power operations can be obtained from the (n + 1)st Morava E-theorv with power operations.

引用

页码：59 / 87

页数：29

共 19 条

[1] Power operations in elliptic cohomology and representations of loop groups [J].